Networked control systems design via fuzzy logic method

Song-Shyong Chen
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引用次数: 2

Abstract

This paper addresses the problem of designing robust static output-feedback controllers for nonlinear network based controller design for the given T-S fuzzy model. The effects of both network-induced delays and data packet dropout will be investigated. Based on an integral inequality and a matrix inequality, a delay-dependent sufficient condition for the existence of a network-based controller is formulated in terms of a linear matrix inequality by adjusting effective parameter matrices. In the approach, we do not directly employ the Lyapunov approach, as do in most of traditional fuzzy control design approaches. Instead, sufficient conditions for guaranteeing the robust stability for the considered networked systems are derived in terms of the matrix spectral norm of the closed-loop fuzzy system. The sufficient conditions are further formulated into linear matrix inequalities so that the desired controller can be easily obtained by using the Matlab LMI toolbox. An illustrative numerical example is also given to show the effectiveness of the proposed design method.
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基于模糊逻辑方法的网络化控制系统设计
针对给定的T-S模糊模型,研究了基于非线性网络的鲁棒静态输出反馈控制器设计问题。网络引起的延迟和数据包丢失的影响将被研究。基于一个积分不等式和一个矩阵不等式,通过调整有效参数矩阵,用线性矩阵不等式的形式给出了基于网络控制器存在的时滞相关的充分条件。在该方法中,我们不像大多数传统模糊控制设计方法那样直接使用李雅普诺夫方法。利用闭环模糊系统的矩阵谱范数,导出了保证所考虑的网络系统鲁棒稳定性的充分条件。将充分条件进一步表述为线性矩阵不等式,利用Matlab LMI工具箱可以方便地得到所需的控制器。最后给出了一个数值算例,说明了所提设计方法的有效性。
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